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Finding the Third Proportional to 164,666 and 261,858

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Solution

The third proportional to 164,666 and 261,858 is: 416,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,666 : 261,858 = 261,858 : x
  2. Step 2: Convert to fraction form
    164,666/261,858 = 261,858/x
  3. Step 3: Cross multiply
    164,666x = 261,858 × 261,858
  4. Step 4: Simplify right side
    164,666x = 68,569,612,164
  5. Step 5: Solve for x
    x = 68,569,612,164/164,666
  6. Step 6: Final answer
    x = 416,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.